Perturbation of Hamiltonian Systems with Keplerian Potentials.
Antonio Ambrosetti, V. Coti Zelati (1989)
Mathematische Zeitschrift
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Antonio Ambrosetti, V. Coti Zelati (1989)
Mathematische Zeitschrift
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Klaus Thews (1980/81)
Manuscripta mathematica
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M. Timoumi, A. Trad (1995)
Collectanea Mathematica
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Chengfu Che, Xiaoping Xue (2012)
Annales Polonici Mathematici
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Two theorems about the existence of periodic solutions with prescribed energy for second order Hamiltonian systems are obtained. One gives existence for almost all energies under very natural conditions. The other yields existence for all energies under a further condition.
H. Beirão da Veiga (1990)
Rendiconti del Seminario Matematico della Università di Padova
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A. Katok, D. Bernstein (1987)
Inventiones mathematicae
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Xianling Fan (1991)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Thomas Bartsch, Michel Willem (1994)
Journal für die reine und angewandte Mathematik
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Xingyong Zhang, Xianhua Tang (2010)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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In this paper, by using the least action principle, Sobolev’s inequality and Wirtinger’s inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
Xianhua Tang, Xingyong Zhang (2010)
Annales UMCS, Mathematica
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In this paper, by using the least action principle, Sobolev's inequality and Wirtinger's inequality, some existence theorems are obtained for periodic solutions of second-order Hamiltonian systems with a p-Laplacian under subconvex condition, sublinear growth condition and linear growth condition. Our results generalize and improve those in the literature.
Herbert Amann, Eduard Zehnder (1980)
Manuscripta mathematica
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Vieri Benci, Donato Fortunato (1987)
Manuscripta mathematica
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H. Hofer, I. Ekeland (1985)
Inventiones mathematicae
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